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Showing 1 to 3 of 3 for “"Kostka-Foulkes Polynomials"”.
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Multiparameter BCn-Kostka-Foulkes Polynomials
The Kostka-Foulkes polynomials describe the change of basis between Schur polynomials and Hall-Littlewood polynomials. In this paper, we extend this idea to the family of BCn Macdonald spherical functions, with multiparameter Kostka-Foulkes polynomials acting as the change of basis from the BC_n …
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On total Springer representations
… ones of the corresponding Weyl group using Kostka-Foulkes polynomials. Also, the character value at any element contained in the maximal parabolic subgroup(s) of type A is explicitly given in terms of Green polynomials. As a result, closed formulas for the Euler characteristic of Springer …
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Geometric approaches to computing Kostka numbers and Littlewood-Richardson coefficients
… geometry, we study the behavior of the Kostka numbers and Littlewood-Richardson coefficients (the type A weight multiplicities and Clebsch-Gordan coefficients). We sh w that both are given by piecewise polynomial functions in the entries of the partitions and compositions parametrizing …